Published in:
Open Access
01-12-2009 | Research article
Bias in odds ratios by logistic regression modelling and sample size
Authors:
Szilard Nemes, Junmei Miao Jonasson, Anna Genell, Gunnar Steineck
Published in:
BMC Medical Research Methodology
|
Issue 1/2009
Login to get access
Abstract
Background
In epidemiological studies researchers use logistic regression as an analytical tool to study the association of a binary outcome to a set of possible exposures.
Methods
Using a simulation study we illustrate how the analytically derived bias of odds ratios modelling in logistic regression varies as a function of the sample size.
Results
Logistic regression overestimates odds ratios in studies with small to moderate samples size. The small sample size induced bias is a systematic one, bias away from null. Regression coefficient estimates shifts away from zero, odds ratios from one.
Conclusion
If several small studies are pooled without consideration of the bias introduced by the inherent mathematical properties of the logistic regression model, researchers may be mislead to erroneous interpretation of the results.